Question 41
Let $R$ denote the set of all real numbers. Find all functions $f: R \to R$ such that for all real numbers $x, y$,
$$
f(xf(y) - f(x) - y) = yf(x) - f(y) - x \text{ holds.}
$$
$$
f(xf(y) - f(x) - y) = yf(x) - f(y) - x \text{ holds.}
$$
MathNet 2019-part-07 — 184 problems (EN–VI) Question 41
Math Olympiad Vault · MathNet 2019-part-07 — 184 problems (EN–VI)